Question

find the smallest number by which 8788 must be divided so that the quotient is a perfect cube

Answer 1

Prime factorisation of 8788 is 2 × 2 ×13×13×13

So, here the triplet of 13 is Completed but 4 left which is not a perfect cube.

So, we have to divide it by 4 to get a perfect cube.

Answer 2

$\huge{\mathfrak{\green{S}}}{\mathfrak{o}}{\mathfrak {\orange {l}}}{\mathfrak{\red{u}}}{\mathfrak {\pink {t}}}{\mathfrak{\blue{i}}}{\mathfrak{\purple {o}}}{\mathfrak {\gray {n}}}$

=>8788=2×2×13×13×13

=>8788=2² ×13³

=>8788=4×13³

=> 48788 =13³

Hence ,while dividing 8788 with a smallest number and we get quotient is a perfect cube is 4